1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
integrate (e^...
Question
integrate (e^2x) sin(3x+1) dx
by doing integration by parts- can we use e^2x as first function? if then what will be the answer?
Open in App
Solution
Using
ILATE
,
exponential
comes
at
end
so
here
sin
3
x
+
1
will
be
first
function
and
e
2
x
will
be
second
.
So
∫
e
2
x
sin
3
x
+
1
dx
I
=
sin
3
x
+
1
∫
e
2
x
dx
-
∫
d
dx
sin
3
x
+
1
∫
e
2
x
dx
dx
=
sin
3
x
+
1
e
2
x
2
-
3
2
∫
e
2
x
cos
3
x
+
1
dx
=
sin
3
x
+
1
e
2
x
2
-
3
2
cos
3
x
+
1
∫
e
2
x
dx
-
∫
d
dx
cos
3
x
+
1
∫
e
2
x
dx
dx
=
sin
3
x
+
1
e
2
x
2
-
3
2
1
2
e
2
x
cos
3
x
+
1
+
3
2
∫
e
2
x
sin
3
x
+
1
dx
=
sin
3
x
+
1
e
2
x
2
-
3
4
e
2
x
cos
3
x
+
1
-
9
4
I
I
+
9
4
I
=
sin
3
x
+
1
e
2
x
2
-
3
4
e
2
x
cos
3
x
+
1
I
=
4
13
sin
3
x
+
1
e
2
x
2
-
3
4
e
2
x
cos
3
x
+
1
Suggest Corrections
0
Similar questions
Q.
Integrate the function
e
2
x
−
1
e
2
x
+
1
Q.
Integrate the following functions.
∫
e
2
x
−
1
e
2
x
+
1
d
x
.
Q.
Integrate
d
x
[
1
−
e
2
x
]
(
1
/
2
)
Q.
Integrate:
∫
e
2
x
−
3
+
7
4
−
3
x
2
+
sin
(
3
x
−
1
2
)
+
cos
(
2
5
x
−
2
)
d
x
Q.
Integrate the function
e
2
x
−
e
−
2
x
e
2
x
+
e
−
2
x
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Factorisation and Rationalisation
MATHEMATICS
Watch in App
Explore more
Factorization Method Form to Remove Indeterminate Form
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app